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Simplifying 7 = 3[x + -1] + 4[x + -1] Reorder the terms: 7 = 3[-1 + x] + 4[x + -1] 7 = [-1 * 3 + x * 3] + 4[x + -1] 7 = [-3 + 3x] + 4[x + -1] Reorder the terms: 7 = -3 + 3x + 4[-1 + x] 7 = -3 + 3x + [-1 * 4 + x * 4] 7 = -3 + 3x + [-4 + 4x] Reorder the terms: 7 = -3 + -4 + 3x + 4x Combine like terms: -3 + -4 = -7 7 = -7 + 3x + 4x Combine like terms: 3x + 4x = 7x 7 = -7 + 7x Solving 7 = -7 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 7 + -7x = -7 + 7x + -7x Combine like terms: 7x + -7x = 0 7 + -7x = -7 + 0 7 + -7x = -7 Add '-7' to each side of the equation. 7 + -7 + -7x = -7 + -7 Combine like terms: 7 + -7 = 0 0 + -7x = -7 + -7 -7x = -7 + -7 Combine like terms: -7 + -7 = -14 -7x = -14 Divide each side by '-7'. x = 2 Simplifying x = 2
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